If you have a ladder that is 8 feet tall and that can extend to 15 feet tall. what is the inequality for this problem?

8less than or equal to x less than or equal to 15

I agree, and happen to have such a ladder. It gets a lot of use. When folded up it is 8 feet long and when fully extended it is 15 feet long.

Actually, when used as a stepladder, the height is a bit less than 8 feet, because of the inverted V shape. It is closer to 8 cos15 = 7.7 feet

At full extension, you still need a leaning angle of about 20 degrees, making a maximum height of 15 cos20 = 14.1 feet. The top rung should never be used

Go with the previous answer anyway.

yfh

To find the inequality for this problem, you can set up an equation using inequalities to represent the height of the ladder. Since the ladder can extend from 8 feet to 15 feet, we can use the variable "h" to represent the height of the ladder.

The inequality for this problem can be expressed as:

8 feet ≤ h ≤ 15 feet

This means that the height of the ladder (h) must be greater than or equal to 8 feet, and less than or equal to 15 feet.